sammmiewong
New member
- Joined
- Aug 21, 2020
- Messages
- 5
But the answer is wrong here.
I was trying to write this series in a summation in terms of n but it wouldn't work either. The fraction cannot be simplified.
I thought this is a geometric because the numerator multiplies by x^2 and denominator multiplies by something.
Here is the series: \(\displaystyle\sum\limits_{k = 0}^\infty {\frac{{{x^{2k}}}}{{(1 - {x^{2k + 1}})(1 - {x^{2k + 3}})}}} \)I was trying to write this series in a summation in terms of n but it wouldn't work either. The fraction cannot be simplified.
Here is the series: \(\displaystyle\sum\limits_{k = 0}^\infty {\frac{{{x^{2k}}}}{{(1 - {x^{2k + 1}})(1 - {x^{2k + 3}})}}} \)
I don't see this problem on that page; and the page is not only poorly organized, but full of wrong statements. Ignore it.
Writing a series as a summation, and evaluating the sum, are two entirely different things. Can you show me what you did?
A geometric sequence is one in which the ratio of successive terms is a constant, not just "something".
What have you actually learned about series, apart from looking at random, poorly written web pages?